Notes on the Riccati operator equation in open quantum systems

Physics – Mathematical Physics

Scientific paper

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Accepted for publications in Journal of Mathematical Physics

Scientific paper

10.1063/1.3676309

A recent problem [B. Gardas, J. Math. Phys. 52, 042104 (2011)] concerning an
antilinear solution of the Riccati equation is solved. We also exemplify that a
simplification of the Riccati equation, even under reasonable assumptions, can
lead to a not equivalent equation.

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